Absolute maximum
This original textbook reading covers part of the AP topic. Follow the AP course outline for complete topic instruction and practice.
- Absolute maximum
Within a given interval (a, b), a point at which the function reaches its highest value. There can be more than one absolute maximum within an interval if both points reach an equally high value.
Examples:
- Related Glossary Terms
Absolute minimum, Critical points, Local maximum, Local minimum
- Index
Glossary and deeper reading · 1 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Absolute extremum
An absolute extremum is the greatest or least function value on the domain or interval under discussion. The comparison includes every allowed input, including included endpoints. For example, x² on [−1,2] has absolute maximum 4 at x=2 and absolute minimum 0 at x=0. An absolute extremum must be attained rather than merely approached.